Équisingularité réelle II : invariants locaux et conditions de régularité

DOI10.24033/asens.2067zbMath1163.32012arXiv0706.4061OpenAlexW2963684749MaRDI QIDQ3605968

Georges Comte, Michel Merle

Publication date: 25 February 2009

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.4061

zbMATH Keywords

polar invariantLipschitz-Killing curvaturessub-analytic setVerdier strataWhitney strata

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Equisingularity (topological and analytic) (32S15) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items (16)

Euler obstruction and Lipschitz-Killing curvatures ⋮ Local polar varieties in the geometric study of singularities ⋮ Tangent cones and \(C^{1}\) regularity of definable sets ⋮ A motivic local Cauchy-Crofton formula ⋮ Motivic local density ⋮ Polynomial bound on the local Betti numbers of a real analytic germ ⋮ Euler obstruction, Brasselet number and critical points ⋮ Lipschitz-Killing curvatures and polar images ⋮ Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets ⋮ Whitney stratifications and the continuity of local Lipschitz–Killing curvatures ⋮ On the topology of non-isolated real singularities ⋮ Stratifications, equisingularity and triangulation ⋮ On the local geometry of definably stratified sets ⋮ Lipschitz continuity properties for \(p\)-adic semi-algebraic and subanalytic functions ⋮ Stratified critical points on the real Milnor fibre and integral-geometric formulas ⋮ Principal kinematic formulas for germs of closed definable sets

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